4200053760 has 528 divisors, whose sum is σ = 17243928000. Its totient is φ = 924844032.

The previous prime is 4200053747. The next prime is 4200053807. The reversal of 4200053760 is 673500024.

It is a happy number.

4200053760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9354016 + ... + 9354464.

Almost surely, 2^4200053760 is an apocalyptic number.

4200053760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4200053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8621964000).

4200053760 is an abundant number, since it is smaller than the sum of its proper divisors (13043874240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4200053760 is a wasteful number, since it uses less digits than its factorization.

4200053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 4200053760 is about 64807.8217501561. The cubic root of 4200053760 is about 1613.4355299574.

Adding to 4200053760 its reverse (673500024), we get a palindrome (4873553784).

The spelling of 4200053760 in words is "four billion, two hundred million, fifty-three thousand, seven hundred sixty".